Exponential motivic homotopy theory, foliations and applications
Principal Investigator
Dr. S. Pepin Lehalleur (FU Berlin)Project description
The project described here consists of two related topics. The first is the construction and exploration of exponential motivic homotopy theory, a variant of motivic homotopy theory for varieties with potentials. The second is centered around the geometric and homotopical theory of foliations and higher differential Galois theory, and its application to the study of motives and algebraic cycles. Exponential connections and the twisted de Rham complex play a central role in both areas.Related publications
Published articles
Victoria Hoskins, Simon Pepin Lehalleur. >A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve. Geom. Topol. 25 (2021), no. 7, 3555--3589.
Victoria Hoskins, Simon Pepin Lehalleur. > On the Voevodsky motive of the moduli stack of vector bundles on a curve. Q. J. Math. 72 (2021), no. 1-2, 71--114.